Question

A line with a slope of –36/37 passes through the point (37, –36). What is its equation in slope-intercept form?

Answer 1

Answer:

The answer is

$y = - \frac{36}{37} x$

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (37, –36) and the slope is - 36/37

The equation of the line is

$y + 36 = - \frac{36}{37} (x - 37) \\ y + 36 = - \frac{36}{37} x + 36 \\ y = - \frac{36}{37} x + 36 - 36$

We have the final answer as

$y = - \frac{36}{37} x$

Hope this helps you